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Advances in intelligent systems research/Advances in Intelligent Systems Research

The Quantum Teleportation Fidelity of the Squeezed Vacuum State

Zhuan Li, Chunmei Liu, Jun-ling Wang, Min Zhang

Published Jan 1, 2015• 0 citations
Publisher

Abstract

We use two-mode squeezed vacuum state as a quantum channel to teleportate the quantum squeezed vacuum state and analyze the fidelity of the teleportation by the Wigner function. The result shows that the squeeze factor of the quantum squeezed vacuum state is smaller, the quantum features of the teleportation state is more easily preserved.

DOI
10.2991/amcce-15.2015.248

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We use two-mode squeezed vacuum state as a quantum channel to teleportate the quantum squeezed vacuum state and analyze the fidelity of the teleportation by the Wigner function. The result shows that the squeeze factor of the quantum squeezed vacuum state is smaller, the quantum features of the teleportation state is more easily preserved.
The teleportation of two-mode continuous variables was performed by using two two-mode squeezed vacuum states served as quantum channel.The average fidelity and the probability density were calculated for teleportation of a two-mode squeezed vacuum state.The results indicate that increased squeezing of teleported state will lead to a loss of fidelity.The probability density of measuring result consists of the product of two bivariate normed density functions,and it shows that when the average fidelity goes up,the probability of obtaining large measurement value also increases.
This paper presents a realistic scheme for the teleportation of coherent states in which a two-mode squeezed vacuum state serves as the quantum channel and the position-sum and momentum-difference of two local modes serve as the measuring observables. The average fidelity of the teleportation of coherent states is derived for finite squeezing parameters and it turns out that fidelity greater than ½ cannot be achieved by using a classical channel alone and the probability distribution of the measurement result is a Gaussian distribution around the unknown parameter of the input coherent state with a width given by the squeezing parameter.
We introduce a kind of non-Gaussian entangled state, which can be obtained by operating a non-local coherent photon-subtraction operation on a two-mode squeezed vacuum. It is found that its normalization factor is only related to the Legendre polynomials, which is a compact expression. Its statistical properties are discussed by the negative region Wigner function with the analytical expression. As an application, the quantum teleportation for coherent states is considered by using the non-Gaussian state as an entangled channel. It is found that the teleportation fidelity can be enhanced by this non-Gaussian operation.
The fidelity of quantum teleportation of a single-mode squeezed state of light is calculated based on the general theory of quantum-mechanical measurement in the Schrödinger picture. It is shown that the criterion for the nonclassical state teleportation is different from that for coherent state. F = 1/2 is no longer the rigorous boundary between classical and quantum teleportation for a squeezed state of light. When the quantum entanglement of an Einstein–Podolsky–Rosen (EPR) beam used for teleportation and the parameters of the system are given, the fidelity depends on the squeezing of the input squeezed state. The higher the squeezing is, the smaller the fidelity is, and the lower the classical limitation of fidelity is. The dependence of the optimum gain for teleporting a squeezed vacuum state upon the EPR entanglement is also calculated. The results obtained provide important references for designing experimental systems of teleporting a non-classical state and judging the quality of the teleported quantum state.
Quantum teleportation of a continuous-variable state is studied for the quantum channel of a two-mode squeezed vacuum influenced by a thermal environment. Each mode of the squeezed vacuum is assumed to undergo the same thermal influence. It is found that when the mixed two-mode squeezed vacuum for the quantum channel is separable, any nonclassical features, which may be imposed in an original unknown state, cannot be transferred to a receiving station. A two-mode Gaussian state, one of which is a mixed two-mode squeezed vacuum, is separable if and only if a positive well-defined P function can be assigned to it. The fidelity of teleportation is considered in terms of the noise factor given by the imperfect channel. It is found that quantum teleportation may give more noise than direct transmission of a field under the thermal environment, which is due to the fragile nature of quantum entanglement of the quantum channel.